Abstract
A complete generalization of the notions of minimality, controllability and observability is presented for uncertain systems modelled by Linear Fractional Transformations on structured operators. Both an algebraic perspective and a geometric perspective are given. The algebraic results include necessary and sufficient Linear Matrix Inequality conditions for reducibility, and the development of structured controllability and observability matrices. The geometric approach involves a decomposition of the system variable space into reachable and unobservable subspaces. Both approaches lead to Kalman-like decomposition structures for uncertain systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3130-3135 |
| Number of pages | 6 |
| Journal | Proceedings of the American Control Conference |
| Volume | 5 |
| DOIs | |
| State | Published - 1997 |
| Externally published | Yes |
| Event | Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: Jun 4 1997 → Jun 6 1997 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering